Fast Static Condensation for the Helmholtz Equation in a Spectral-Element Discretization

Current research in computational fluid dynamics focuses on higher-order methods. These possess a more extensive coupling between degrees of freedom, resulting in a larger runtime per degree of freedom compared to low-order methods. This work tries to tackle this issue by combining the static condensation method with tensor-product and sum factorization, leading to a well-scaling solver for the Helmholtz equation.